Cryptographic design and analysis play a key role in securing communication through untrusted channels.This need is even more pronounced with the advent of cloud-centric environments.Symmetric encryption techniques can deliver high computational efficiencies only if the distribution and management of keys are secured.Public key cryptographic systems such as RSA and Elliptic Curve Cryptography (ECC), which have been the mainstay, are at risk due to arrival of quantum computers that can solve the integer factorization and discrete logarithm problems efficiently.Although post-quantum cryptography has made some breakthroughs, the lattice-based schemes still have to contend with difficulties such as heavy computation requirements, difficulty in choosing parameters, high power consumption, and low security-performance tradeoff.If lattices parameters are not properly set, they may not withstand lattice attacks and computational efficiency will also be degraded, limiting factor for their use in cloud environments.This study, in the quest for a solution, recommends the usage of N-th degree Truncated Polynomial Ring Units (NTRU) cryptosystem which is optimized by adjusting key parameters like lattice dimension (N), modulus (q), and small modulus (p) determining a Hermite factor (𝛿)-based approach.A metaheuristic optimization technique, Electric Eel Foraging Optimization (EEFO), is used to effectively balance security strength, correctness, and computational efficiency.Also, a new cryptographically strong and quantum-resistant key exchange capability is provided by the Improved Supersingular Isogeny Diffie-Hellman (ISIDH) protocol.The experiments have shown method to have an encryption strength of 0.95, an average success rate of 93.47%, and reduced energy consumption of 0.00085, thereby proving its efficiency.
Cryptographic design and analysis play a key role in securing communication through untrusted channels.This need is even more pronounced with the advent of cloud-centric environments.Symmetric encryption techniques can deliver high computational efficiencies only if the distribution and management of keys are secured.Public key cryptographic systems such as RSA and Elliptic Curve Cryptography (ECC), which have been the mainstay, are at risk due to arrival of quantum computers that can solve the integer factorization and discrete logarithm problems efficiently.Although post-quantum cryptography has made some breakthroughs, the lattice-based schemes still have to contend with difficulties such as heavy computation requirements, difficulty in choosing parameters, high power consumption, and low security-performance tradeoff.If lattices parameters are not properly set, they may not withstand lattice attacks and computational efficiency will also be degraded, limiting factor for their use in cloud environments.This study, in the quest for a solution, recommends the usage of N-th degree Truncated Polynomial Ring Units (NTRU) cryptosystem which is optimized by adjusting key parameters like lattice dimension (N), modulus (q), and small modulus (p) determining a Hermite factor (𝛿)-based approach.A metaheuristic optimization technique, Electric Eel Foraging Optimization (EEFO), is used to effectively balance security strength, correctness, and computational efficiency.Also, a new cryptographically strong and quantum-resistant key exchange capability is provided by the Improved Supersingular Isogeny Diffie-Hellman (ISIDH) protocol.The experiments have shown method to have an encryption strength of 0.95, an average success rate of 93.47%, and reduced energy consumption of 0.00085, thereby proving its efficiency.
The emergence of quantum computing is a serious threat to the principles of modern crypto-logical mathematics. The classical public-key cryptography, including Rivest-Shamir-Adleman (RSA), Elliptic Curve Cryptography (ECC), and Diffie-Hellman are very safe against classical adversaries yet become susceptible to quantum algorithms, including the Shor algorithm, which can easily solve the underlying mathematical problems. This weakness is jeopardizing confidentiality and integrity of the world-wide systems of communication, money transactions, and essential structures, and requires the immediate creation of safe alternatives. The current literature on post-quantum cryptography (PQC) has covered various classes of algorithm, such as lattice-based, code-based, multivariate schemes, and isogeny-based schemes. Although lattice-based approaches like Nth Degree Truncated Polynomial Ring Unit (NTRU) and FrodoKEM can be highly theoretically resistant, they can be computationally and memory-intensive. Cryptosystems based on code such as Classic McEliece are secure but not practicable because they have huge public key sizes. Multivariate schemes like Rainbow, and isogeny-based schemes like Super singular Isogeny Key Encapsulation (SIKE) have been attacked recently by cryptanalytic attacks, and broken completely. Such restrictions open the necessity to find more efficient and secure quantum-resistant solutions.This research study postulates a hybrid post-quantum cryptographic (PQC) system that combines CRYSTALS-Kyber for encryption with CRYSTALS-Dilithium for digital signatures both of which are approved through the National Institute of Standards and Technology (NIST) PQC standardization program. The model will be such that it ensures quantum resistance but at the same time it will be scalable, efficient and compatible with the existing infrastructures. The test outcomes indicate that the hybrid PQC model is 35-45 percent faster to encrypt and decrypt, signature performance is enhanced by up to 40 percent, and the throughput is 20 times higher (98.7 Mbps) than the same base PQC scheme including Nth Degree Truncated Polynomial Ring Unit (NTRU), McEliece and Rainbow. These enhancements affirm that the suggested model provides a viable trade-off between the security, speed, and efficiency in terms of key size, which makes it a viable and a sound base to ensure secure communication in the quantum age.
The advent of large-scale quantum computers poses an existential threat to the security of current public-key cryptosystems, such as RSA and Elliptic Curve Cryptography (ECC), which rely on the computational intractability of integer factorization and discrete logarithms. This paper explores lattice-based cryptography as a promising candidate for post-quantum security. We delve into the mathematical foundations of lattices, specifically focusing on hard problems like the Shortest Vector Problem (SVP), Closest Vector Problem (CVP), Small Integer Solution (SIS), and Learning With Errors (LWE) problems, which are believed to remain intractable even for quantum computers. We provide a comprehensive review of prominent lattice-based constructions, including NTRU, Kyber, and Dilithium, highlighting their security proofs, efficiency considerations, and suitability for various cryptographic primitives such as public-key encryption, key-exchange mechanisms, and digital signatures. Furthermore, we discuss the challenges and opportunities associated with their deployment, including parameter selection, resistance to side-channel attacks, and integration into existing cryptographic infrastructures. By examining the theoretical underpinnings and practical implications, this work aims to solidify understanding of lattice-based methods as a robust and essential component of the cryptographic landscape in the quantum era, moving beyond the traditional RSA frontier.
The rise of quantum computing poses a serious threat to traditional cryptosystems, such as RSA and ECC, which rely on the mathematical problem of factoring large numbers and dealing with discrete logarithms Quantum algorithms such as Shor and Grover can solve solve these problems effectively, so that classical The encryption is simple. This research addresses the urgent need for quantum-resistant cryptographic algorithms to protect next-generation networks, including 5G, IoT, and cloud computing, from future quantum attacks. The main objective of this study is to investigate the efficiency and scalability of quantum post-cryptography techniques, especially lattice-based cryptography, and to evaluate their performance in comparison with traditional cryptography and other post-quantum techniques. It also provides robust protection against quantum attacks and reasonable scalability to large networks, while delivering large key size requirements, low connectivity and excess capacity. The study concludes that lattice-based cryptography is an appropriate solution that balances quantum resistance with practical performance in real-world applications to ensure secure communications in the post-quantum era.
Abstract. Public key exchange protocol is identified as an important application in the field of public-key cryptography. Most of the existing public key exchange schemes are Diffie-Hellman (DH)-type, whose security is based on DH problems over different group-s. Note that there exists Shor’s polynomial-time algorithm to solve these DH problems when a quantum computer is available, we are therefore motivated to seek for a non-DH-type and quantum resistant key exchange protocol. To this end, we turn our attention to lattice-based cryptography. The higher methodology behind our roadmap is that in anal-ogy to the link between ElGamal, DSA, and DH, one should expect a NTRU lattice-based key exchange primitive in related to NTRU-ENCRYPT and NTRU-SIGN. However, this excepted key exchange protocol is not presented yet and still missing. In this paper, this missing key exchange protocol is found, hereafter referred to as NTRU-KE, which is stud-ied in aspects of security and key-mismatch failure. In comparison with ECDH (Elliptic Curve-based Diffie-Hellman), NTRU-KE features faster computation speed, resistance to quantum attack, and more communication overhead. Accordingly, we come to the conclu-sion that NTRU-KE is currently comparable with ECDH. However, decisive advantage of NTRU-KE will occur when quantum computers become a reality.
With the fast-paced development of quantum computing, classical cryptographic techniques are under severe security threats, prompting the need for post-quantum cryptographic mechanisms for secure data exchange in next-generation network communications. Post-quantum cryptography seeks to protect sensitive data against quantum attacks to provide long-term data confidentiality. But all current cryptographic techniques, including RSA and ECC, are susceptible to quantum algorithms like Shor's algorithm, which can factor large integers efficiently and break discrete logarithm problems, making classical cryptography useless. There is thus a pressing need for quantum attack-resistant encryption mechanisms. To meet these challenges, we introduce the Lattice-Based Cryptography with Hybrid Key Exchange (L-CHKE) framework, which combines lattice-based encryption with a hybrid key exchange mechanism. Lattice-based cryptography provides quantum resistance because it is based on hard mathematical problems such as Learning with Errors (LWE), which provides greater security and efficiency. The designed L-CHKE algorithm strengthens secure key distribution and authentication for next-generation networks, especially for applications needing strong security like financial transactions, IoT, and military communications. Experimental results verify that L-CHKE noticeably boosts computational efficiency by 98.45%, decreases key exchange latency by 42.56%, and guarantees robustness by 97.64% against quantum attacks, indicating it is an appropriate solution for post-quantum secure communication.
Abstract Data security in the cloud has been a major issue since the inception and adoption of cloud computing. Various frameworks have been proposed, and yet data breach prevails. With encryption being the dominant method of cloud data security, the advent of quantum computing implies an urgent need to proffer a model that will provide adequate data security for both classical and quantum computing. Thus, most cryptosystems will be rendered susceptible and obsolete, though some cryptosystems will stand the test of quantum computing. The article proposes a model that comprises the application of a variant of McEliece cryptosystem, which has been tipped to replace Rivest–Shamir–Adleman (RSA) in the quantum computing era to secure access control data and the application of a variant of N-th degree truncated polynomial ring units (NTRU) cryptosystem to secure cloud user data. The simulation of the proposed McEliece algorithm showed that the algorithm has a better time complexity than the existing McEliece cryptosystem. Furthermore, the novel tweaking of parameters S and P further improves the security of the proposed algorithms. More so, the simulation of the proposed NTRU algorithm revealed that the existing NTRU cryptosystem had a superior time complexity when juxtaposed with the proposed NTRU cryptosystem.